Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains
Author: Luogeng Hua
Publisher: American Mathematical Soc.
Published: 1963-12-31
Total Pages: 192
ISBN-13: 0821815563
DOWNLOAD EBOOK →Author: Luogeng Hua
Publisher: American Mathematical Soc.
Published: 1963-12-31
Total Pages: 192
ISBN-13: 0821815563
DOWNLOAD EBOOK →Author: L. K. Hua
Publisher:
Published: 1963
Total Pages: 192
ISBN-13: 9781470444273
DOWNLOAD EBOOK →Author: L.-K. Hua
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 188
ISBN-13: 1461381363
DOWNLOAD EBOOK →It is with great pleasure that I am writing the preface for my little book, "Starting with the Unit Circle", in the office of Springer Verlag in Heidel berg. This is symbolic of the fact that I have once again joined in the main stream of scientific exchange between East and West. Since the establishment of the People's Republic of China, I have written "An Introduction to Number Theory" for the young people studying Number Theory: for the young people studying algebra, Prof. Wan Zhe-xian (Wan Che-hsien) and I have written "Classical Groups"; for those studying the theory of functions of several complex variables, I have written "Har monic Analysis of Functions of Several Complex Variables in the Classical Domains", * and for university students I have written "Introduction to Higher Mathematics". The present volume had been written for those who were beginning to engage in research at the Chinese University of Science and Technology and at the Guangdong Zhongshan University. Its purpose is none other than to make the students see the crucial ideas in their simplest manifestations, so that when they go on to the more complex parts of modem mathematics, they will not be without guidance. For example, in the first chapter when I point out that the Poisson kernel is just the Jacobian of some transformation, I am merely revealing the source of one of the main tools in my work on harmonic analysis in the classical domains.
Author: Steven G. Krantz
Publisher: Springer Science & Business Media
Published: 2009-05-24
Total Pages: 367
ISBN-13: 0817646698
DOWNLOAD EBOOK →This self-contained text provides an introduction to modern harmonic analysis in the context in which it is actually applied, in particular, through complex function theory and partial differential equations. It takes the novice mathematical reader from the rudiments of harmonic analysis (Fourier series) to the Fourier transform, pseudodifferential operators, and finally to Heisenberg analysis.